Transformation Similarity

What is the result of dilating a rectangle with vertices at (0, 0), (4, 0), (4, 2), and (0, 2) by a factor of 0.5 and then rotating it 90 degrees counterclockwise?

• A rectangle with vertices at (0, 0), (0, 2), (-1, 2), and (-1, 0)

• A rectangle with vertices at (0, 0), (1, 0), (-1, 2), and (0, 2)

• A square with vertices at (0, 0), (2, 0), (2, 2), and (0, 2)

• A rectangle with vertices at (0, 0), (3, 0), (3, 1), and (0, 1)

If a figure is dilated by a factor of 0.3, what are the new coordinates of the point (10, 5) in the image?

• (3, 1.5)

• (7, 3.5)

• (12, 6)

• (5, 2.5)

• 9

• 6

• 8

• 7

• 58 ; 32

• 32 ; 90

• 32 ; 58

• 58 ; 90

Determine whether the triangles are similar.

• Yes, they are similar by SSS

• Yes they are similar by AA

• Yes, they are similar by SAS

• No, they cannot be proven to be similar

What is the sequence of transformations for the image given?

Name the series of transformations that maps ABC onto DEF.

• reflect over x-axis then translate left 6 up 1

• reflect over y-axis then translate down 6 left 1

• translate right 6 down 1, then reflect over x-axis

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Determine how to translate triangle ABC to triangle A'B'C'.

• (x-2, y+5)

• (x+2, y-9)

• (x-2, y+9)

• (x-9, y+2)

Suppose a triangle with the vertices A(–2, 4), B(–1, –3), and C(4, –2) is dilated, with the center of dilation at the origin and with a scale factor of 2. What will be the coordinates of C'?

• (2, -1)

• (8, -4)

• (8, 4)

• (2, 1)